CAIE IGCSE Mathematics Extended E6.2 Right Angled Triangles Topic Practice

The diagram shows triangle ABC on horizontal ground.
$A C=15 \mathrm{~m}, B C=8 \mathrm{~m}$ and $A B=20 \mathrm{~m}$.
BP and CQ are vertical poles of different heights.
$B P=3 \mathrm{~m}$ and $C Q=4 \mathrm{~m}$.
AQ and PQ are straight wires.

\section*{NOT TO SCALE}

The diagram shows a quadrilateral ABCD.
$C D=10 \mathrm{~m}$ and $D B=12 \mathrm{~m}$.
Angle $D B A=90^{\circ}$, angle $C D B=56^{\circ}$ and angle $A D B=34^{\circ}$.

The diagram shows two vertical poles, AE and PT, standing on horizontal ground, AP.
Calculate the angle of elevation of the point T from the point E.

\section*{NOT TO SCALE}

The diagram shows a quadrilateral ABCD.
$C D=10 \mathrm{~m}$ and $D B=12 \mathrm{~m}$.
Angle $D B A=90^{\circ}$, angle $C D B=56^{\circ}$ and angle $A D B=34^{\circ}$.

Calculate the length of AB.

The diagram shows triangle ABC on horizontal ground.
$A C=15 \mathrm{~m}, B C=8 \mathrm{~m}$ and $A B=20 \mathrm{~m}$.
BP and CQ are vertical poles of different heights.
$B P=3 \mathrm{~m}$ and $C Q=4 \mathrm{~m}$.
AQ and PQ are straight wires.

Calculate the length of AQ.

The diagram shows triangle ABC on horizontal ground.
$A C=15 \mathrm{~m}, B C=8 \mathrm{~m}$ and $A B=20 \mathrm{~m}$.
BP and CQ are vertical poles of different heights.
$B P=3 \mathrm{~m}$ and $C Q=4 \mathrm{~m}$.
AQ and PQ are straight wires.

Calculate the angle of elevation of Q from P.